A Wordless Proof of the Pythagorean Theorem #12

This GeoGebra example presents a visual, wordless proof of the Pythagorean theorem using geometric construction. It demonstrates that in a right triangle, the sum of the areas of the squares on the legs equals the area of the square on the hypotenuse. Key mathematical ideas include congruence, area preservation under rigid transformations, and properties of right triangles. The construction employs commands such as Point, Line, Circle, Polygon, Midpoint, Mirror (reflection), Translate (translation), and Angle, along with numerous auxiliary objects (e.g., points A–N, polygons poly1–poly3, circles k, k1–k4). Through strategic reflection and translation, the figure reconfigures component shapes to visually confirm a² + b² = c² without algebraic manipulation. Ideal for middle school geometry instruction or exploratory learning in Euclidean geometry.